I'd have gone more of The Orville approach and made a game loosely inspired by Star Trek or something to that extent and made a ship that looks somewhat like the USS Enterprise which I've seen done in at least one commercial game, I can't recall the name of it though.
Oh, what sad times are these when IP/copyright ruffians can 'cease and desist' at will to old fans. There is a pestilence upon this land. Nothing is sacred. Even those who arrange and design video games are under considerable economic stress at this period in history.